Pith Number

pith:2ILTPYNY

pith:2018:2ILTPYNY3GF4AEIXSM4TKFTQSF

not attested not anchored not stored refs pending

$\mathcal{G}$-SGD: Optimizing ReLU Neural Networks in its Positively Scale-Invariant Space

Huishuai Zhang, Qi Meng, Shuxin Zheng, Tie-Yan Liu, Wei Chen, Zhi-Ming Ma

arxiv:1802.03713 v8 · 2018-02-11 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ILTPYNY3GF4AEIXSM4TKFTQSF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T02:25:15.033975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21737e1b8d98bc011179339351670914f7b98eeae66c2e60ee511549c273f4e

Aliases

arxiv: 1802.03713 · arxiv_version: 1802.03713v8 · doi: 10.48550/arxiv.1802.03713 · pith_short_12: 2ILTPYNY3GF4 · pith_short_16: 2ILTPYNY3GF4AEIX · pith_short_8: 2ILTPYNY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2ILTPYNY3GF4AEIXSM4TKFTQSF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d21737e1b8d98bc011179339351670914f7b98eeae66c2e60ee511549c273f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fa3e710027d99292265ea490b5aa0a8f39a9c14d26064bd256ea2eddfe12da",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-02-11T08:57:08Z",
    "title_canon_sha256": "662069aabdd2022a038230cc9e7156bf6491755db596da1dacc9a44e4dfd0a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03713",
    "kind": "arxiv",
    "version": 8
  }
}